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Question

Find the Cartesian equation of the line which passes through the point (-2,4,-5) and is parallel to the line x+33=4y5=z+86.

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Solution

The ratio of the given line are (3, 5, 6). The required line passes through the point A(-2, 4, -5) and parallel to x+33=y45=z+86.
So, the cartesian equation of the required line are
xx1a=yy1b=zz1c
The equation is x+23=y45=z+56

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